4 papers
Relation Between Bulk and Interface Descriptions of Alloy Solidification
Alexander L. Korzhenevskii, Richard Bausch, Rudi Schmitz
From a simple bulk model for the one-dimensional steady-state solidification of a dilute binary alloy we derive an interface description, allowing arbitrary values of the growth ve…
Capillary-Wave Description of Rapid Directional Solidification
Alexander L. Korzhenevskii, Richard Bausch, Rudi Schmitz
A recently introduced capillary-wave description of binary-alloy solidification is generalized to include the procedure of directional solidification. For a class of model systems…
Diffusion-Induced Oscillations of Extended Defects
Alexander L. Korzhenevskii, Richard Bausch, Rudi Schmitz
From a simple model for the driven motion of a planar interface under the influence of a diffusion field we derive a damped nonlinear oscillator equation for the interface position…
Capillary-Wave Model for the Solidification of Dilute Binary Alloys
Alexander L. Korzhenevskii, Richard Bausch, Rudi Schmitz
Starting from a phase-field description of the isothermal solidification of a dilute binary alloy, we establish a model where capillary waves of the solidification front interact w…